Name: Ian Forsyth Question: Given the points A(0,0) B(60,10) C(24,d) find the equation of the parabola. leave the equation in terms of x, y and d if the general form of a quadratic is y = ax^{2} + bx + c. Note: B(60,10) is not a turning point Hi Ian,I assume that you want the parabola that passes through A, B and C. If the parabola passes through a point then the coordinates of the point satisfy the equation of the parabola. Substituting A, B and C into the equation of the parabola gives 10 = a (60^{2}) + b 60 + c d = a (24^{2}) + b 24 + c The first equation implies c = 0 and the second and third equations become d = 24^{2} a + 24 b Solve these equations for a and b. Cheers,Penny
